The data presented here were recorded by the ALICE detector in 2016, 2017 and 2018 by colliding protons at center-of-mass energy (\(\sqrt{s}\) ) = 13 TeV. Events are rejected if the vertex z-position, \(|z_{\rm vtx}| > \)  10 cm from the nominal interaction point (IP). Minimum Bias (MB) events are selected using ALICE MB trigger condition which requires the coincidence in the V0A and V0C forward scintillator arrays [1]} whereas high multiplicity (HM) events are selected using HM trigger condition which requires the sum of V0A and V0C amplitudes to be more than 5 times the mean MB signal. The used data samples consist of \(\sim \)  1802 M for MB and \(\sim \)  183 M for HM event classes.
Charged particles detected by both the Time Projection Chamber (TPC) [2]} and the Inner Tracking System (ITS) [3]} with \(p_{\rm T} >\)  0.15 GeV/\(c\)  in the pseudorapidity \(|\eta | <\)  0.9 and azimuthal angle 0 \( < \varphi <\)  2\(\pi \)  are considered for this analysis. Jets are constructed from these selected charged particles with FastJet 3.2.1 [4]} using the anti-\(k_{\rm T}\)  algorithm with \(p_{\rm T}\)  recombination scheme for jet resolution parameter \(R\)  = 0.4. Mean charged-particle multiplicity, \(\left<N_{\rm ch}\right>\)  and jet fragmentation function, \(z^{\rm ch} = {p_{\rm T}^{\rm particle}}/{p_{\rm T}^{\rm jet,ch}}\)  are measured for leading jets in the range of jet \(p_{\rm T}\)  from 5–110 GeV/\(c\) .
